Use Gaussian Elimination to Solve the Linear System by Finding $$\begin{array} { l } x + y + z = 0 \\x - y + 4 z = 0 \\2 x + y + z = 5\end{array}$$

question 166

Multiple Choice

Use Gaussian elimination to solve the linear system by finding an equivalent system in triangular form.
- $$\begin{array} { l } x + y + z = 0 \\x - y + 4 z = 0 \\2 x + y + z = 5\end{array}$$

• A)(-2, -3, 5)
• B)(-2, 5, -3)
• C)(5, -3, -2)
• D)no solution

---

Definitions:

Cartel

An agreement among competing firms to control prices or exclude entry of a new competitor in a market, often to maximize overall profits.

Tacit Collusion

A situation where firms in the market indirectly coordinate actions by understanding common interests without explicit agreement, often leading to higher prices or less competition.

Marginal Costs

The additional cost incurred by producing one more unit of a good or service; this cost can vary with the level of production.

OPEC

The Organization of the Petroleum Exporting Countries, a group consisting of 13 of the world's major oil-exporting nations.